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Finding the Fourth Proportional to 284,542.37, 426,837.70 and 116,074.11

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Solution

The fourth proportional to 284,542.37, 426,837.70 and 116,074.11 is: 174,121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,542.37 : 426,837.70 = 116,074.11 : x
  2. Step 2: Convert to fraction form
    284,542.37/426,837.70 = 116,074.11/x
  3. Step 3: Cross multiply
    284,542.37x = 426,837.70 × 116,074.11
  4. Step 4: Simplify right side
    284,542.37x = 49,544,807,887.68
  5. Step 5: Solve for x
    x = 49,544,807,887.68/284,542.37
  6. Step 6: Final answer
    x = 174,121.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.